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Finding the Third Proportional to 160,772 and 343,690

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Solution

The third proportional to 160,772 and 343,690 is: 734,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,772 : 343,690 = 343,690 : x
  2. Step 2: Convert to fraction form
    160,772/343,690 = 343,690/x
  3. Step 3: Cross multiply
    160,772x = 343,690 × 343,690
  4. Step 4: Simplify right side
    160,772x = 118,122,816,100
  5. Step 5: Solve for x
    x = 118,122,816,100/160,772
  6. Step 6: Final answer
    x = 734,722.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.